What is Faraday's second law called?
2 Answers
Faraday's second law is known as **Faraday's Law of Electromagnetic Induction**. Specifically, it is often referred to as **Faraday's Second Law of Electromagnetic Induction**, which deals with the **magnitude of the induced electromotive force (EMF)** in a circuit.
### Faraday's Second Law:
Faraday's second law states that:
> The magnitude of the induced electromotive force (EMF) is **directly proportional** to the rate of change of magnetic flux through the circuit.
### Key Points:
- **Magnetic Flux**: It refers to the product of the magnetic field strength and the area it penetrates (perpendicular to the field lines). Mathematically, it is given by \(\Phi_B = B \cdot A \cdot \cos(\theta)\), where:
- \(B\) = magnetic field strength,
- \(A\) = area of the loop or circuit,
- \(\theta\) = angle between the magnetic field lines and the perpendicular to the area.
- **Rate of Change of Magnetic Flux**: If the magnetic flux linked with a circuit changes (either by altering the magnetic field, the area, or the orientation), an EMF is induced in the circuit. The faster the flux changes, the greater the induced EMF.
### Mathematically:
Faraday's second law is expressed as:
\[
\text{EMF} = - \frac{d\Phi_B}{dt}
\]
Where:
- \( \text{EMF} \) = induced electromotive force (measured in volts),
- \( \frac{d\Phi_B}{dt} \) = rate of change of magnetic flux,
- The negative sign (known as **Lenz's Law**) indicates the direction of the induced EMF, opposing the change in magnetic flux that caused it.
### In Simple Terms:
The second law of Faraday tells us how strong the voltage (or EMF) produced in a coil or loop will be, depending on how quickly the magnetic field is changing around it. The faster the change, the greater the voltage produced.
### Faraday's Second Law:
Faraday's second law states that:
> The magnitude of the induced electromotive force (EMF) is **directly proportional** to the rate of change of magnetic flux through the circuit.
### Key Points:
- **Magnetic Flux**: It refers to the product of the magnetic field strength and the area it penetrates (perpendicular to the field lines). Mathematically, it is given by \(\Phi_B = B \cdot A \cdot \cos(\theta)\), where:
- \(B\) = magnetic field strength,
- \(A\) = area of the loop or circuit,
- \(\theta\) = angle between the magnetic field lines and the perpendicular to the area.
- **Rate of Change of Magnetic Flux**: If the magnetic flux linked with a circuit changes (either by altering the magnetic field, the area, or the orientation), an EMF is induced in the circuit. The faster the flux changes, the greater the induced EMF.
### Mathematically:
Faraday's second law is expressed as:
\[
\text{EMF} = - \frac{d\Phi_B}{dt}
\]
Where:
- \( \text{EMF} \) = induced electromotive force (measured in volts),
- \( \frac{d\Phi_B}{dt} \) = rate of change of magnetic flux,
- The negative sign (known as **Lenz's Law**) indicates the direction of the induced EMF, opposing the change in magnetic flux that caused it.
### In Simple Terms:
The second law of Faraday tells us how strong the voltage (or EMF) produced in a coil or loop will be, depending on how quickly the magnetic field is changing around it. The faster the change, the greater the voltage produced.
Faraday's Second Law of Electromagnetic Induction is typically referred to as the **Law of Electromagnetic Induction**, but more specifically, it is often known as the **Law of Induced EMF (Electromotive Force)**. This law is a key component of Faraday's broader contributions to electromagnetism, and it is part of his famous work in explaining how electric currents are generated by changing magnetic fields.
### Faraday's Second Law (Law of Induced EMF):
The second law of electromagnetic induction states that:
- **The magnitude of the induced EMF (electromotive force) is directly proportional to the rate of change of magnetic flux through the coil or circuit.**
Mathematically, it is expressed as:
\[
\text{EMF} = - \frac{d\Phi_B}{dt}
\]
Where:
- \(\text{EMF}\) is the induced electromotive force.
- \(d\Phi_B\) is the change in magnetic flux.
- \(dt\) is the time interval during which the change occurs.
- The negative sign indicates the direction of the induced EMF, as determined by **Lenz's Law** (which states that the induced EMF opposes the change in magnetic flux).
In simpler terms, if the magnetic field around a conductor changes, a voltage (EMF) is induced in the conductor. The faster the magnetic field changes, the greater the induced EMF.
### Summary:
Faraday's Second Law is often called the **Law of Induced EMF**, and it quantifies how much voltage is generated in a circuit when a magnetic field passing through it changes over time. This law is fundamental in understanding how transformers, electric generators, and many other electrical devices work.
### Faraday's Second Law (Law of Induced EMF):
The second law of electromagnetic induction states that:
- **The magnitude of the induced EMF (electromotive force) is directly proportional to the rate of change of magnetic flux through the coil or circuit.**
Mathematically, it is expressed as:
\[
\text{EMF} = - \frac{d\Phi_B}{dt}
\]
Where:
- \(\text{EMF}\) is the induced electromotive force.
- \(d\Phi_B\) is the change in magnetic flux.
- \(dt\) is the time interval during which the change occurs.
- The negative sign indicates the direction of the induced EMF, as determined by **Lenz's Law** (which states that the induced EMF opposes the change in magnetic flux).
In simpler terms, if the magnetic field around a conductor changes, a voltage (EMF) is induced in the conductor. The faster the magnetic field changes, the greater the induced EMF.
### Summary:
Faraday's Second Law is often called the **Law of Induced EMF**, and it quantifies how much voltage is generated in a circuit when a magnetic field passing through it changes over time. This law is fundamental in understanding how transformers, electric generators, and many other electrical devices work.